How many degrees are in the angle formed by the hands of a clock at 8:24?? And explains pleaseeee
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It takes 1 hour (or 60 minutes) for minute hand to rotate 360 degrees.
Every minute, minute hand rotates 360/60 = 6 degrees
It takes 12 hours (720 minutes) for hour hand to rotate 360 degrees.
Every hour, hour hand rotates 360/12 = 30 degrees
Every minute, hour hand rotates 360/720 = 0.5 degrees
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Let 12 position on clock represent 0 degrees
At beginning of every hour, minute hand is at 0 degrees
In 24 minutes, minute hand has rotated 24 * 6 degrees = 144 degrees
In 8 hours and 24 minutes, hour hand has rotated
8*30 degrees + 24*0.5 degrees = 252 degrees
Angle formed by hands of clock = 252 - 144 = 108 degrees
Mαthmφm
Every minute, minute hand rotates 360/60 = 6 degrees
It takes 12 hours (720 minutes) for hour hand to rotate 360 degrees.
Every hour, hour hand rotates 360/12 = 30 degrees
Every minute, hour hand rotates 360/720 = 0.5 degrees
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Let 12 position on clock represent 0 degrees
At beginning of every hour, minute hand is at 0 degrees
In 24 minutes, minute hand has rotated 24 * 6 degrees = 144 degrees
In 8 hours and 24 minutes, hour hand has rotated
8*30 degrees + 24*0.5 degrees = 252 degrees
Angle formed by hands of clock = 252 - 144 = 108 degrees
Mαthmφm
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Hour hand is at (8/12).360 degrees
Minute hand is at (24/60).360 degrees
subtract one from the other
Minute hand is at (24/60).360 degrees
subtract one from the other